What is the Greatest Common Factor of 63700 and 63714?

Greatest common factor (GCF) of 63700 and 63714 is 14.

GCF(63700,63714) = 14

We will now calculate the prime factors of 63700 and 63714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63700 and 63714.

How to find the GCF of 63700 and 63714?

We will first find the prime factorization of 63700 and 63714. After we will calculate the factors of 63700 and 63714 and find the biggest common factor number .

Step-1: Prime Factorization of 63700

Prime factors of 63700 are 2, 5, 7, 13. Prime factorization of 63700 in exponential form is:

63700 = 2² × 5² × 7² × 13¹

Step-2: Prime Factorization of 63714

Prime factors of 63714 are 2, 3, 7, 37, 41. Prime factorization of 63714 in exponential form is:

63714 = 2¹ × 3¹ × 7¹ × 37¹ × 41¹

Step-3: Factors of 63700

List of positive integer factors of 63700 that divides 63700 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 49, 50, 52, 65, 70, 91, 98, 100, 130, 140, 175, 182, 196, 245, 260, 325, 350, 364, 455, 490, 637, 650, 700, 910, 980, 1225, 1274, 1300, 1820, 2275, 2450, 2548, 3185, 4550, 4900, 6370, 9100, 12740, 15925, 31850

Step-4: Factors of 63714

List of positive integer factors of 63714 that divides 63700 without a remainder.

1, 2, 3, 6, 7, 14, 21, 37, 41, 42, 74, 82, 111, 123, 222, 246, 259, 287, 518, 574, 777, 861, 1517, 1554, 1722, 3034, 4551, 9102, 10619, 21238, 31857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63700 and 63714. The biggest common factor number is the GCF number.
So the greatest common factor 63700 and 63714 is 14.

Also check out the Least Common Multiple of 63700 and 63714